Are the following functions linearly independent on the
Chapter 2, Problem 2.1.13(choose chapter or problem)
(More in the next problem set.) Verify by substitution that the given functions fonn a basis. Solve the given initial value problem. (Show the details of your work.)
\(x^{2} y^{\prime \prime}+x y^{\prime}-4 y=0, x^{2}, x^{-2}, y(1)=11, y^{\prime}(1)=-6\)
Text Transcription:
x^2y’’+xy’-4y=0, x^2, x^-2, y(1)=11, y’(1)=-6
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